Process for extracting unwanted acidic compounds from a drinkable liquid which includes:arranging, in a first tank (2), a liquid (L) has at least one unwanted acidic compound;conveying the liquid (L) to a membrane separation unit (3);separating, in the membrane unit (3), the liquid (L) into a retentate (R) and a permeate (P) mainly containing the unwanted acidic compound;adjusting the conductivity of the permeate (P) at a minimum threshold value greater than 200 μS susceptible to dissociate at least a fraction of the unwanted acidic compound into corresponding ions;flowing the permeate (P) through an electrodialysis unit (6), extracting at least part of said ions, to obtain one concentrate (C), containing the aforesaid ions, and one deacidified permeate (Pd) substantially without such ions;mixing the deacidified permeate (Pd) with the retentate (R) to obtain the deacidified final drinkable liquid.